Extensions 1→N→G→Q→1 with N=C₂³ and Q=C₂₀

Direct product G=N×Q with N=C₂³ and Q=C₂₀

		d	ρ	Label	ID
C₂³×C₂₀		160		C2^3xC20	160,228

Semidirect products G=N:Q with N=C₂³ and Q=C₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊C₂₀ = C₅×C₂³⋊C₄	φ: C₂₀/C₅ → C₄ ⊆ Aut C₂³	40	4	C2^3:C20	160,49
C₂³⋊₂C₂₀ = C₁₀×C₂²⋊C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂³	80		C2^3:2C20	160,176

Non-split extensions G=N.Q with N=C₂³ and Q=C₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.C₂₀ = C₅×C₄.D₄	φ: C₂₀/C₅ → C₄ ⊆ Aut C₂³	40	4	C2^3.C20	160,50
C₂³.₂C₂₀ = C₅×C₂²⋊C₈	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂³	80		C2^3.2C20	160,48
C₂³.₃C₂₀ = C₁₀×M₄(2)	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₂³	80		C2^3.3C20	160,191

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Extensions 1→N→G→Q→1 with N=C23 and Q=C20